Commun. Comput. Phys., 8 (2010), pp. 484-510.

Numerical Solution of the Gyroaverage Operator for the Finite Gyroradius Guiding-Center Model

Nicolas Crouseilles 1*, Michel Mehrenberger 1, Hocine Sellama 1

1 INRIA Nancy Grand-Est and IRMA, 7, rue Rene Descartes, 67084 Strasbourg, France.

Received 1 September 2009; Accepted (in revised version) 22 January 2010
Available online 15 April 2010


In this work, we are concerned with numerical approximation of the gyroaverage operators arising in plasma physics to take into account the effects of the finite Larmor radius corrections. Several methods are proposed in the space configuration and compared to the reference spectral method. We then investigate the influence of the different approximations considering the coupling with some guiding-center models available in the literature.

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PACS: 02.60.-x, 52.65.Tt, 02.70-c
Key words: Gyroaverage operator, cubic splines, Bessel function, plasma simulation, guiding-center model, Eulerian solvers for Vlasov.

*Corresponding author.
Email: (N. Crouseilles), (M. Mehrenberger), (H. Sellama)

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